Steady states and dynamics of an autocatalytic chemical reaction model with decay |
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| Authors: | Yuhua Zhao Yuwen Wang Junping Shi |
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| Institution: | 1. Y.Y. Tseng Functional Analysis Research Center, Harbin Normal University, Harbin, Heilongjiang 150025, PR China;2. School of Mathematics and Statistics, Northeastern Normal University, Changchun, Jilin 130024, PR China;3. Department of Mathematics, College of William and Mary, Williamsburg, VA 23187-8795, USA |
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| Abstract: | The dynamics and steady state solutions of an autocatalytic chemical reaction model with decay in the catalyst are considered. Nonexistence and existence of nontrivial steady state solutions are shown by using energy estimates, upper–lower solution method, and bifurcation theory. The effects of decay order, decay rate and diffusion rates to the dynamical behavior are discussed. |
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